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Finding the Fourth Proportional to 3,757.60, 5,629.20 and 2,292.40

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Solution

The fourth proportional to 3,757.60, 5,629.20 and 2,292.40 is: 3,434.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757.60 : 5,629.20 = 2,292.40 : x
  2. Step 2: Convert to fraction form
    3,757.60/5,629.20 = 2,292.40/x
  3. Step 3: Cross multiply
    3,757.60x = 5,629.20 × 2,292.40
  4. Step 4: Simplify right side
    3,757.60x = 12,904,378.08
  5. Step 5: Solve for x
    x = 12,904,378.08/3,757.60
  6. Step 6: Final answer
    x = 3,434.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.